Preheat oven to 350°F. Butter and flour three 9-inch cake pans; line bottoms with parchment paper. Stir together milk and vanilla in a bowl. Sift together flour, baking powder, and salt in another bowl.

Beat butter on medium speed with an electric mixer until light and fluffy, 2 to 3 minutes. Gradually beat in sugar until light and fluffy, 1 to 2 minutes. Reduce mixer speed to low, add flour mixture alternately with milk mixture, beginning and ending with flour mixture, beating just until blended after each addition.

Place one cake layer on a cake stand or serving plate and spread top with half of the Lemon-Coconut Filling (leaving a ¼-inch border all around). Top with a second cake layer and top with the remaining Lemon-Coconut Filling (leaving a ¼-inch border all around); top with the remaining cake layer. Frost top and sides with Creamy Mascarpone Frosting. Decorate with fondant daisies.

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